Hileyberry Hileyberry

15-03-2017
Chemistry

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By what factor would the average kinetic energy of the particles by increased if the temperature of a substance was increased from -49°C to 287°C?

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taskmasters taskmasters

22-03-2017

average kinetic energy of a particle :
0.5 mv^2 = kT/2
so the kinetic energy = kT/2
assuming the same value of K
T1 = -49 + 273 = 224
T2 = 287 + 273 = 560

E2 / E1 = kT2 / 2 / kT1 / 2
E2 / E1 = T2 / T1
E2 / E1 = 560 / 224 = 2.5
so the average kinetic energy of the particle increases by 2.5

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